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Finding the Fourth Proportional to 1,003.43, 1,505.43 and 354.21

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Solution

The fourth proportional to 1,003.43, 1,505.43 and 354.21 is: 531.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.43 : 1,505.43 = 354.21 : x
  2. Step 2: Convert to fraction form
    1,003.43/1,505.43 = 354.21/x
  3. Step 3: Cross multiply
    1,003.43x = 1,505.43 × 354.21
  4. Step 4: Simplify right side
    1,003.43x = 533,238.36
  5. Step 5: Solve for x
    x = 533,238.36/1,003.43
  6. Step 6: Final answer
    x = 531.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.